1.6k citations · 2.8k across the 15 of their papers we have counts for
15 papers
Quantum Well in Fractional Quantum Mechanics
Nick Laskin
Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-di…
Fractional non-homogeneous counting process
Nick Laskin
A new fractional non-homogeneous counting process has been introduced and developed using the Kilbas and Saigo three-parameter generalization of the Mittag-Leffler function. The pr…
Stretched Coherent States
Nick Laskin
The fundamental properties of recently introduced stretched coherent states are investigated. It has been shown that stretched coherent states retain the fundamental properties of…
A New Family of Fractional Counting Probability Distributions
Nick Laskin
A new family of fractional counting processes based on a three-parameter generalized Mittag-Leffler function was introduced and studied. As applications we develop a fractional gen…
Time Fractional Quantum Mechanics
Nick Laskin
A time fractional quantum framework has been introduced into quantum mechanics. A new version of the space-time fractional Schrödinger equation has been launched. The introduced sp…
New Pricing Framework: Options and Bonds
Nick Laskin
A unified analytical pricing framework with involvement of the shot noise random process has been introduced and elaborated. Two exactly solvable new models have been developed. Th…